75821 ÷ 8 = 9477 R5
We're going to perform division on 75821 with 8 as the divisor.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 8

Step 2:
8 goes into 75 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 75 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 8

Step 3:
8 goes into 38 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 94
Subtract 32 from 38 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 8

Step 4:
8 goes into 62 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 947
Subtract 56 from 62 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 5:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 9477
Subtract 56 from 61 to get 5.

The final result is 9477 with a remainder of 5.